Fault-tolerant control for a class of nonlinear sampled-data systems via a Euler approximate observer

Mao, Zehui; Shi, Peng

doi:10.1016/j.automatica.2010.06.052

Cited by 94 publications

(56 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…. , r, and Λ > 0 with appropriate dimensions, we have (16) For convenience of presentation, we first discuss the nominal system of (10) (that is, without parameter uncertainty ∆A i ) and will eventually extend our main results to the general case. We have the following analysis result that serves as a theoretical basis for the subsequent design problem.…”

Section: Fuzzy Fault Detection Filtermentioning

confidence: 99%

“…Accordingly, a variety of important results have been reported in the literature. For example, the fault detection problems have been addressed in [39] for linear timevarying systems, in [41] for singular systems, in [16,34] for sampled-data systems, in [28] for stochastic systems, in [40] for Markovian jump linear systems and in [12,23] for networked control systems. It is worth noting that most of the above mentioned results are concerned with linear models.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fuzzy-Model-Based Robust Fault Detection With Stochastic Mixed Time Delays and Successive Packet Dropouts

Dong

Wang

Lam³

et al. 2012

IEEE Trans. Syst., Man, Cybern. B

243

View full text Add to dashboard Cite

Abstract-This paper is concerned with the networkbased robust fault detection problem for a class of uncertain discrete-time T-S fuzzy systems with stochastic mixed timedelays and successive packet dropouts. The mixed timedelays comprise both the multiple discrete time-delays and the infinite distributed delays. A sequence of stochastic variables is introduced to govern the random occurrences of the discrete time-delays, distributed time-delays and successive packet dropouts, where all the stochastic variables are mutually independent but obey the Bernoulli distribution. The main purpose of this paper is to design a fuzzy fault detection filter such that the overall fault detection dynamics is exponentially stable in the mean square and, at the same time, the error between the residual signal and the fault signal is made as small as possible. Sufficient conditions are first established via intensive stochastic analysis for the existence of the desired fuzzy fault detection filters, and then the corresponding solvability conditions for the desired filter gains are established. Also, the optimal performance index for the addressed robust fuzzy fault detection problem is obtained by solving an auxiliary convex optimization problem. An illustrative example is provided to show the usefulness and effectiveness of the proposed design method.

show abstract

Section: Fuzzy Fault Detection Filtermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fuzzy-Model-Based Robust Fault Detection With Stochastic Mixed Time Delays and Successive Packet Dropouts

Dong

Wang

Lam³

et al. 2012

IEEE Trans. Syst., Man, Cybern. B

243

View full text Add to dashboard Cite

show abstract

“…In the case of linear systems, because the exact discretization of the continuous-time plant is possible, the sampled-data controller design is not difficult. However, in the case of nonlinear systems, the exact discretization is not possible, and so, to overcome this problem, various nonlinear sampled-data control techniques have been proposed, such as the Euler approximation [8,9] and the conversion to an input delay controller [10,11]. Sampled-data fuzzy control techniques, which are combination of the sampled-data control technique and the T-S fuzzy model, have also been proposed in many studies [16][17][18][19][20][21][22][23][24][25][26][27] and are categorized into the input delay conversion approach and the direct discrete-time design approach.…”

Section: Introductionmentioning

confidence: 99%

Sampled-Data Observer-Based Decentralized Fuzzy Control for Nonlinear Large-Scale Systems

Koo¹,

Park²,

Joo³

2016

Journal of Electrical Engineering and Technology

View full text Add to dashboard Cite

-In this paper, a sampled-data observer-based decentralized fuzzy control technique is proposed for a class of nonlinear large-scale systems, which can be represented to a Takagi-Sugeno fuzzy system. The premise variable is assumed to be measurable for the design of the observer-based fuzzy controller, and the closed-loop system is obtained. Based on an exact discretized model of the closed-loop system, the stability condition is derived for the closed-loop system. Also, the stability condition is converted into the linear matrix inequality (LMI) format. Finally, an example is provided to verify the effectiveness of the proposed techniques.

show abstract

“…A sliding model observer-based fault estimation method is presented by [21] for a class of nonlinear networked control systems with transfer delays. [22] proposes a fault-tolerant control scheme for non-linear sampled data systems via an Euler approximate observer. But the convergence speed of the estimation algorithm is also an important factor with respect to the assessment of the adaptive observer.…”

Section: Introductionmentioning

confidence: 99%

Actuator Fault Estimation and Reconfiguration Control for the Quad-Rotor Helicopter

Chen

Lei

Tao

et al. 2016

International Journal of Advanced Robotic Systems

Self Cite

View full text Add to dashboard Cite

In this paper, an improved reconfiguration control scheme via an H ∞ fault observer and adaptive control is studied for the quad-rotor helicopter with actuator faults. The bilinear problem is eliminated by constructing fault compensation and control law reconfiguration in the adaptive controller. Fault estimation is achieved by designing the fault observer with an H ∞ performance index, which is applied to evaluate the 'locking in place' fault of the actuator in a quad-rotor helicopter. By drawing the H ∞ performance index into the adaptive fault observer, an asymptotically convergent estimated error can be attained and the burden of the adaptive controller is alleviated. Some simulation and experimental results confirm the availability of the reconfiguration control scheme.

show abstract

Fault-tolerant control for a class of nonlinear sampled-data systems via a Euler approximate observer

Cited by 94 publications

References 16 publications

Fuzzy-Model-Based Robust Fault Detection With Stochastic Mixed Time Delays and Successive Packet Dropouts

Fuzzy-Model-Based Robust Fault Detection With Stochastic Mixed Time Delays and Successive Packet Dropouts

Sampled-Data Observer-Based Decentralized Fuzzy Control for Nonlinear Large-Scale Systems

Actuator Fault Estimation and Reconfiguration Control for the Quad-Rotor Helicopter

Contact Info

Product

Resources

About